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Answer:
Yes; Opposite sides are congruent, and diagonals are congruent.
Step-by-step explanation:
we have
we know that
the formula to calculate the distance between two points is equal to
step 1
Find the length of the sides
<u><em>Find the distance AB</em></u>
substitute the values
<u><em>Find the distance BC</em></u>
substitute the values
<u><em>Find the distance CD</em></u>
substitute the values
<u><em>Find the distance AD</em></u>
substitute the values
Compare the length sides
AB=CD
BC=AD
therefore
Opposite sides are congruent
step 2
Find the length of the diagonals
<u><em>Find the distance AC</em></u>
substitute the values
<u><em>Find the distance BD</em></u>
substitute the values
Compare the length of the diagonals
AC=BD
therefore
Diagonals are congruent
The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent